# Math problem?

Five coins look the same, but one is a counterfeit coin with a different weight than each of

the four genuine coins. Using a balance scale, what is the least number of weighings needed

to ensure that, in every case, the counterfeit coin is found and is shown to be heavier or

lighter?

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3 weighings will be the max. weighing four at a time, then three at a time, then one of the last 2.